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996553792 = 26132199463
BaseRepresentation
bin111011011001100…
…011010001000000
32120110012011210201
4323121203101000
54020104210132
6242515334544
733460365433
oct7331432100
92513164721
10996553792
1147158a683
122398b1454
1312b601700
14964d181a
155c7502e7
hex3b663440

996553792 has 84 divisors (see below), whose sum is σ = 2156764800. Its totient is φ = 456648192.

The previous prime is 996553777. The next prime is 996553813. The reversal of 996553792 is 297355699.

It is a happy number.

Its product of digits (4592700) is a multiple of the sum of its prime factors (700).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152153 + ... + 2152615.

Almost surely, 2996553792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078382400).

996553792 is an abundant number, since it is smaller than the sum of its proper divisors (1160211008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

996553792 is a wasteful number, since it uses less digits than its factorization.

996553792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 55.

The square root of 996553792 is about 31568.2402423702. The cubic root of 996553792 is about 998.8499418733.

The spelling of 996553792 in words is "nine hundred ninety-six million, five hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 199 208 338 398 416 463 676 796 832 926 1352 1592 1852 2587 2704 3184 3704 5174 5408 6019 6368 7408 10348 10816 12038 12736 14816 20696 24076 29632 33631 41392 48152 67262 78247 82784 92137 96304 134524 156494 165568 184274 192608 269048 312988 368548 385216 538096 625976 737096 1076192 1197781 1251952 1474192 2152384 2395562 2503904 2948384 4791124 5007808 5896768 9582248 15571153 19164496 31142306 38328992 62284612 76657984 124569224 249138448 498276896 996553792